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Computational Science, Engineering & Technology Series
ISSN 1759-3158
Edited by: J. Kruis, Y. Tsompanakis and B.H.V. Topping
Chapter 17

Multiscale Modelling of Deformable Porous Media with Large Contrasts in the Permeability using Homogenization

E. Rohan and V. Lukeš

New Technologies for Information Society, European Centre of Excellence, Faculty of Applied Sciences, University of West Bohemia, Plzen, Czech Republic

Full Bibliographic Reference for this chapter
E. Rohan, V. LukeĀš, "Multiscale Modelling of Deformable Porous Media with Large Contrasts in the Permeability using Homogenization", in J. Kruis, Y. Tsompanakis and B.H.V. Topping, (Editors), "Computational Techniques for Civil and Structural Engineering", Saxe-Coburg Publications, Stirlingshire, UK, Chapter 17, pp 389-416, 2015. doi:10.4203/csets.38.17
Keywords: fluid saturated porous media, perfusion, double porosity, homogenization, large contrast permeability, Biot model, Darcy flow.

The paper deals with two scale modelling of fluid saturated porous media using the homogenization approach. It focuses on the materials which, at the mesoscopic level of heterogeneities characterized by a size epsilon, are featured by large contrasts in the hydraulic permeability, as the consequence of the underlying microstructure. The mesoscopic models considered in the paper represent the Biot continuum with periodic, or locally periodic material coefficients. The permeability tensor is scaled by epsilon2 in subdomains occupied by the less permeable material which is associated with the "dual porosity". This paper records results of several authors contributions in this field. Namely, the homogenized models are presented, and the influence of the topology of the representative cell decomposition in the context of the dual porosity is demonstrated. Computational homogenization is explained for modelling the finite deforming porous material treated by an incremental formulation.

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